Abstract
Throughout the literature, a large discrepancy exists among the activation volumes reported for Mg and its alloys. The present work surveys the reported values for basal and prismatic <a> slip of pure and alloyed Mg single crystals as well as polycrystals. A focus is placed on recent results obtained for rare earth element solutes, Sc and Y. The measured values are discussed in light of a recently developed predictive model for thermally activated basal-solute interaction in Mg alloys. It is found that if the single crystal activation volumes for basal slip in solid solution alloys are computed using the total stress instead of a presumed “thermal component” of the stress, i.e. admitting that thermal fluctuations can aid in overcoming any obstacles present in those materials, then the experimental results are in much better accordance with the theoretical predictions. Possible implications of the combined activities of different deformation modes on the activation volume of pure and alloyed Mg polycrystals are briefly introduced. Finally, using polycrystal elasto-viscoplasticity modelling, it is shown that under conditions relevant to tests performed on polycrystalline, solute-containing binary Mg alloys, basal slip can be the dominant deformation mode at 0.2% offset strain at which the initial activation volume is often assessed.
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References
Basinski, Z. S., Jackson, P. J., & Duesbery, M. S. (1977). Transients in steady-state plastic deformation produced by changes of strain rate. Philosophical Magazine, 36(2), 255-263.
Wagoner, R. H. (1984). Strain-rate sensitivity of zinc sheet. Metallurgical and Materials Transactions A, 15(6), 1265-1271.
Caillard, D., & Martin, J. (2003). Experimental characterization of dislocation mechanisms. Thermally activated mechanisms in crystal plasticity, Pergamon Materials Series, Elsevier Science, Cambridge, UK, 15-18.
Bajikar, V., Bhattacharyya, J. J., Peterson, N., & Agnew, S. R. (2019). Thermally Activated Slip in Rare Earth Containing Mg-Mn-Ce Alloy, ME10, Compared with Traditional Mg-Al-Zn Alloy, AZ31. JOM, 71(6), 2040-2046.
Leyson, G. P. M., Hector Jr, L. G., & Curtin, W. A. (2012). First-principles prediction of yield stress for basal slip in Mg–Al alloys. Acta Materialia, 60(13-14), 5197-5203.
Yasi, J. A., Hector Jr, L. G., & Trinkle, D. R. (2011). Prediction of thermal cross-slip stress in magnesium alloys from direct first-principles data. Acta Materialia, 59(14), 5652-5660.
Akhtar, A., & Teghtsoonian, E. (1969). Solid solution strengthening of magnesium single crystals—I alloying behaviour in basal slip. Acta Metallurgica, 17(11), 1339-1349.
Bhattacharya, B., & Niewczas, M. (2011). Work-hardening behaviour of Mg single crystals oriented for basal slip. Philosophical Magazine, 91(17), 2227-2247.
Miura, S., Imagawa, S., Toyoda, T., Ohkubo, K., & Mohri, T. (2008). Effect of rare-earth elements Y and Dy on the deformation behavior of Mg alloy single crystals. Materials Transactions, 0804070382–0804070382.
Akhtar, A., & Teghtsoonian, E. (1969). Solid solution strengthening of magnesium single crystals—ii the effect of solute on the ease of prismatic slip. Acta Metallurgica, 17(11), 1351-1356.
Flynn, P. W., Mote, J. E. D. J., & Dorn, J. E. (1961). On the thermally activated mechanism of prismatic slip in magnesium single crystals. Transactions of the Metallurgical Society of AIME, 221(6), 1148-1154.
Ahmadieh, A., Mitchell, J., & Dorn, J. (1964). Lithium alloying and dislocation mechanisms for prismatic slip in magnesium. (No. UCRL-11417). California. Univ., Berkeley. Lawrence Radiation Lab.
Sastry, D. H., Prasad, Y. V. R. K., & Vasu, K. I. (1970). The rate-controlling dislocation mechanism for plastic flow in polycrystalline magnesium. Current Science, 97–100.
Catherine J. Silva. (2014). Effect of Sc Addition on the Mechanical Properties of Mg-Sc Binary Alloys. M.S. thesis, McMaster University.
Jia, X. (2013). Solid solution strengthening and texture evolution in Mg-Y alloys. M.S. thesis, McMaster University.
Conrad, H., & Robertson, W. D. (1957). Effect of temperature on the flow stress and strain-hardening coefficient of magnesium single crystals. JOM, 9(4), 503-512.
Conrad, H., Hays, L., Schoeck, G., & Wiedersich, H. (1961). On the rate-controlling mechanism for plastic flow of Mg crystals at low temperatures. Acta Metallurgica, 9(4), 367-378.
Bochniak, W. (1995). Mode of deformation and the Cottrell-Strokes law in FCC single crystals. Acta metallurgica et materialia, 43(1), 225-233.
Leyson, G. P. M., & Curtin, W. A. (2016). Solute strengthening at high temperatures. Modelling and Simulation in Materials Science and Engineering, 24(6), 065005.
Leyson, G. P. M., & Curtin, W. A. (2016). Thermally-activated flow in nominally binary Al–Mg alloys. Scripta Materialia, 111, 85-88.
Tehranchi, A., Yin, B., & Curtin, W. A. (2018). Solute strengthening of basal slip in Mg alloys. Acta Materialia, 151, 56-66.
Basinski, Z. S., Foxall, R. A., & Pascual, R. (1972). Stress equivalence of solution hardening. Scripta Metallurgica, 6(9), 807-814.
Couret, A., & Caillard, D. (1985). An in situ study of prismatic glide in magnesium—I. The rate controlling mechanism. Acta Metallurgica, 33(8), 1447-1454.
Püschl, W. (2002). Models for dislocation cross-slip in close-packed crystal structures: a critical review. Progress in Materials Science, 47(4), 415-461.
Lukáč, P., & Trojanová, Z. (2011). Stress relaxation in an az31 magnesium alloy. In Key Engineering Materials (Vol. 465, pp. 101–104). Trans Tech Publications Ltd.
Trojanová, Z., Máthis, K., Lukáč, P., Németh, G., & Chmelík, F. (2011). Internal stress and thermally activated dislocation motion in an AZ63 magnesium alloy. Materials Chemistry and Physics, 130(3), 1146-1150.
Silva, C. J., Kula, A., Mishra, R. K., & Niewczas, M. (2018). The effect of Sc on plastic deformation of Mg–Sc binary alloys under tension. Journal of Alloys and Compounds, 761, 58-70.
Silva, C. J., Kula, A., Mishra, R. K., & Niewczas, M. (2017). Mechanical properties of Mg-Sc binary alloys under compression. Materials Science and Engineering: A, 692, 199-213.
Kang, Y. B., Pelton, A. D., Chartrand, P., & Fuerst, C. D. (2008). Critical evaluation and thermodynamic optimization of the Al–Ce, Al–Y, Al–Sc and Mg–Sc binary systems. Calphad, 32(2), 413-422.
Cottrell, A. H., & Stokes, R. J. (1955). Effects of temperature on the plastic properties of aluminium crystals. Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 233(1192), 17–34.
Haasen, P. (1958). Plastic deformation of nickel single crystals at low temperatures. Philosophical Magazine, 3(28), 384-418.
Nabarro, F. R. N. (1990). Cottrell-Stokes law and activation theory. Acta Metallurgica et Materialia, 38(2), 161-164.
Yasi, J. A., Hector Jr, L. G., & Trinkle, D. R. (2012). Prediction of thermal cross-slip stress in magnesium alloys from a geometric interaction model. Acta Materialia, 60(5), 2350-2358.
Molinari, A., Ahzi, S., & Kouddane, R. (1997). On the self-consistent modeling of elastic-plastic behavior of polycrystals. Mechanics of Materials, 26(1), 43-62.
Mercier, S., & Molinari, A. (2009). Homogenization of elastic–viscoplastic heterogeneous materials: Self-consistent and Mori-Tanaka schemes. International Journal of Plasticity, 25(6), 1024-1048.
Wang, H., Wu, P. D., Tomé, C. N., & Huang, Y. (2010). A finite strain elastic–viscoplastic self-consistent model for polycrystalline materials. Journal of the Mechanics and Physics of Solids, 58(4), 594-612.
Bhattacharyya, J. J., Sasaki, T. T., Nakata, T., Hono, K., Kamado, S., & Agnew, S. R. (2019). Determining the strength of GP zones in Mg alloy AXM10304, both parallel and perpendicular to the zone. Acta Materialia, 171, 231-239.
Wang, H., Wu, P., Kurukuri, S., Worswick, M. J., Peng, Y., Tang, D., & Li, D. (2018). Strain rate sensitivities of deformation mechanisms in magnesium alloys. International Journal of Plasticity, 107, 207-222.
Kula, A., Jia, X., Mishra, R. K., & Niewczas, M. (2017). Flow stress and work hardening of Mg-Y alloys. International Journal of Plasticity, 92, 96-121.
Stanford, N., Cottam, R., Davis, B., & Robson, J. (2014). Evaluating the effect of yttrium as a solute strengthener in magnesium using in situ neutron diffraction. Acta Materialia, 78, 1-13.
Acknowledgements
The research at University of Virginia was sponsored by the Department of Energy, Basic Energy Sciences, Mechanical Behavior, and Radiation Effects Program led by Dr. John Vetrano, Grant # DE-SC0018923. Also, helpful discussions with W.A. Curtin (EPFL) and A. Kula (AGH University of Science and Technology) are gratefully acknowledged.
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Shabana, M.A., Bhattacharyya, J.J., Niewczas, M., Agnew, S.R. (2021). Thermally Activated Nature of Basal and Prismatic Slip in Mg and Its Alloys. In: Miller, V.M., Maier, P., Jordon, J.B., Neelameggham, N.R. (eds) Magnesium Technology 2021. The Minerals, Metals & Materials Series. Springer, Cham. https://doi.org/10.1007/978-3-030-65528-0_9
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